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Finding the Fourth Proportional to 742.86, 1,024.65 and 477.39

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Solution

The fourth proportional to 742.86, 1,024.65 and 477.39 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.86 : 1,024.65 = 477.39 : x
  2. Step 2: Convert to fraction form
    742.86/1,024.65 = 477.39/x
  3. Step 3: Cross multiply
    742.86x = 1,024.65 × 477.39
  4. Step 4: Simplify right side
    742.86x = 489,152.54
  5. Step 5: Solve for x
    x = 489,152.54/742.86
  6. Step 6: Final answer
    x = 658.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.